42085612400 has 120 divisors (see below), whose sum is σ = 112401389184. Its totient is φ = 15037977600.

The previous prime is 42085612399. The next prime is 42085612411. The reversal of 42085612400 is 421658024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30662 + ... + 291738.

Almost surely, 2^42085612400 is an apocalyptic number.

42085612400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42085612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56200694592).

42085612400 is an abundant number, since it is smaller than the sum of its proper divisors (70315776784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42085612400 is a wasteful number, since it uses less digits than its factorization.

42085612400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261139 (or 261128 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 42085612400 in words is "forty-two billion, eighty-five million, six hundred twelve thousand, four hundred".